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Stationary States in a Model of Position Selection by Individuals

Abstract

A model of position selection by individuals in the propaganda battle of two parties is considered. The position selection is based on a neurological decision-making model the input of which is the information stimuli arriving to the individual from the opposing parties and which produces as its output the support of one of these parties. In this version of the model, assortativity and the incomplete coverage of the population by mass media are also taken into account. The number and stability of equilibriums are investigated and a meaningful interpretation is proposed.

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Correspondence to A. P. Petrov or O. G. Proncheva.

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Translated by A. Klimontovich

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Petrov, A.P., Proncheva, O.G. Stationary States in a Model of Position Selection by Individuals. Comput. Math. and Math. Phys. 60, 1737–1746 (2020). https://doi.org/10.1134/S0965542520100115

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  • DOI: https://doi.org/10.1134/S0965542520100115

Keywords:

  • ordinary differential equations
  • stability
  • neurological decision-making model
  • propaganda battle
  • echo chamber